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2400442440020 = 225415728872293
BaseRepresentation
bin100010111011100101100…
…001001101100101010100
322111110221221221111120022
4202323211201031211110
5303312101231040040
65034425324124312
7335266126040462
oct42734541154524
98443857844508
102400442440020
118460271a5999
1232927b396698
1314548c753331
1484279703832
154269366e6b5
hex22ee584d954

2400442440020 has 24 divisors (see below), whose sum is σ = 5042141934984. Its totient is φ = 959945964416.

The previous prime is 2400442440017. The next prime is 2400442440031. The reversal of 2400442440020 is 200442440042.

It can be written as a sum of positive squares in 4 ways, for example, as 97053433156 + 2303389006864 = 311534^2 + 1517692^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14353007 + ... + 14519286.

It is an arithmetic number, because the mean of its divisors is an integer number (210089247291).

Almost surely, 22400442440020 is an apocalyptic number.

2400442440020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400442440020 is an abundant number, since it is smaller than the sum of its proper divisors (2641699494964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2400442440020 is a wasteful number, since it uses less digits than its factorization.

2400442440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28876459 (or 28876457 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2400442440020 its reverse (200442440042), we get a palindrome (2600884880062).

The spelling of 2400442440020 in words is "two trillion, four hundred billion, four hundred forty-two million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 4157 8314 16628 20785 41570 83140 28872293 57744586 115489172 144361465 288722930 577445860 120022122001 240044244002 480088488004 600110610005 1200221220010 2400442440020